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Published on: 05/11/2020
12th Standard Maths Two Dimensional Analytical Geometry-II English Medium Free Online Test One Mark Questions 2020 - 2021
Download Tamil Nadu 12th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
The number of normals that can be drawn from a point to the parabola y2 = 4ax is __________
3
2
0
1
2.
In an ellipse, the distance between its foci is 6 and its minor axis is 8, then e is ________
\(\frac { 4 }{ 5 } \)
\(\frac { 1 }{ \sqrt { 52 } } \)
\(\frac { 3 }{ 5 } \)
\(\frac { 1 }{ 2 } \)
3.
Equation of tangent at (-4, -4) on x2 = -4y is _____________
2x - y + 4 = 0
2x + y - 4 = 0
2x - y - 12 = 0
2x + y + 4 = 0
4.
If (0, 4) and (0, 2) are the vertex and focus of a parabola then its equation is ___________
x2 + 8y = 32
y2 + 8x = 32
x2 - 8y = 32
y2 - 8x = 32
5.
If the two tangents drawn from a point P to the parabola y2 = 4x are at right angles then the locus of P is
2x + 1 = 0
x = −1
2x −1 = 0
x = 1
6.
The equation of the circle passing through the foci of the ellipse \(\frac{x^{2}}{16}+\frac{y^{2}}{9}=1\) having centre at (0, 3) is
x2 + y2 − 6y − 7 = 0
x2 + y2 − 6y + 7 = 0
x2+y2−6y−5 = 0
x2+y2−6y+5 = 0
7.
If the normals of the parabola y2 = 4x drawn at the end points of its latus rectum are tangents to the circle (x − 3)2 + (y + 2)2 = r2 , then the value of r2 is
2
3
1
4
8.
9.
The radius of the circle 3x2 + by2 + 4bx − 6by + b2 = 0 is
1
3
\( \sqrt {10}\)
\( \sqrt {11}\)
10.
The equation of the circle passing through (1, 5) and (4, 1) and touching y-axis is x2 + y2 − 5x − 6y + 9 + \(\lambda\)(4x + 3y − 19) = 0 where λ is equal to
\(0,-\frac { 40 }{ 9 } \)
0
\(\frac { 40 }{ 9 } \)
\(\frac { -40 }{ 9 } \)
1.
(a)
3
2.
(c)
\(\frac { 3 }{ 5 } \)
3.
(a)
2x - y + 4 = 0
4.
(a)
x2 + 8y = 32
5.
(b)
x = −1
6.
(a)
x2 + y2 − 6y − 7 = 0
7.
(a)
2
8.
(b)
9.
(c)
\( \sqrt {10}\)
10.
(a)
\(0,-\frac { 40 }{ 9 } \)
12th Standard Syllabus & Materials
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